Beginning from the pioneering works [1]}, [2]}, chimera states are mainly reported for networks of oscillators with symmetric, both-sided (if on a ring) coupling. In the classical Kuramoto-Sakaguchi model, they are characterized by chaotic wandering in the space [3]}, which makes them extremely sensitive to any level of the coupling asymmetry. First, the chimeras start traveling with a constant velocity (proportional to the asymmetry), and then disappear in a crisis at a relatively small level of asymmetry [4]}, [5]}, [6]}.
